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Solving integrals/ x^(1/5)

Integral of x^(1/5) dx

You have entered [src]

  1         
  /         
 |          
 |  5 ___   
 |  \/ x  dx
 |          
/           
0

$$\int\limits_{0}^{1} \sqrt[5]{x}\, dx$$

Integral(x^(1/5), (x, 0, 1))

Detail solution

The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int \sqrt[5]{x}\, dx = \frac{5 x^{\frac{6}{5}}}{6}$
Add the constant of integration:

$\frac{5 x^{\frac{6}{5}}}{6}+ \mathrm{constant}$

The answer is:

$\frac{5 x^{\frac{6}{5}}}{6}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                     
 |                   6/5
 | 5 ___          5*x   
 | \/ x  dx = C + ------
 |                  6   
/

$$\int \sqrt[5]{x}\, dx = C + \frac{5 x^{\frac{6}{5}}}{6}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

5/6

$$\frac{5}{6}$$

5/6

$$\frac{5}{6}$$

5/6

Numerical answer [src]

0.833333333333333

0.833333333333333

The graph

Use the examples entering the upper and lower limits of integration.